Fractional discrete-time consensus models for single- and double-summator dynamics

Małgorzata Wyrwas, Dorota Mozyrska and Ewa Girejko

International Journal of Systems Science, 2018, vol. 49, issue 6, 1212-1225

Abstract: The leader–following consensus problem of fractional-order multi-agent discrete-time systems is considered. In the systems, interactions between opinions are defined like in Krause and Cucker–Smale models but the memory is included by taking the fractional-order discrete-time operator on the left-hand side of the nonlinear systems. In this paper, we investigate fractional-order models of opinions for the single- and double-summator dynamics of discrete-time by analytical methods as well as by computer simulations. The necessary and sufficient conditions for the leader–following consensus are formulated by proposing a consensus control law for tracking the virtual leader.

Date: 2018
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DOI: 10.1080/00207721.2018.1442511

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